A simple and unusual bijection for Dyck paths and its consequences

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In this paper we introduce a new bijection from the set of Dyck paths to itself. This bijection has the property that it maps statistics that appeared recently in the study of pattern-avoiding permutations into classical statistics on Dyck paths, whose distribution is easy to obtain. We also present a generalization of the bijection, as well as several applications of it to enumeration problems of statistics in restricted permutations.
13 pages, 8 figures, submitted to Annals of Combinatorics

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Combinatorics, 05A15, 05A05

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http://salesiana.dossiersoluciones.com/handle/123456789/67725

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306125
 http://arxiv.org/abs/math/0306125

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arXiv